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Discrete Dynamics in Nature and Society
Volume 2017 (2017), Article ID 2658124, 10 pages
Research Article

Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet

1College of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan, Shanxi 030024, China
2Collaborative Innovation Center of Taiyuan Heavy Machinery Equipment, Taiyuan, Shanxi 030024, China
3College of Mechanical Engineering, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China

Correspondence should be addressed to Fuqiang Zhao and Jiaquan Xie

Received 23 August 2017; Revised 6 November 2017; Accepted 20 November 2017; Published 11 December 2017

Academic Editor: Jorge E. Macías-Díaz

Copyright © 2017 Fuqiang Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In the current study, a numerical technique for solving one-dimensional fractional nonsteady heat transfer model is presented. We construct the second kind Chebyshev wavelet and then derive the operational matrix of fractional-order integration. The operational matrix of fractional-order integration is utilized to reduce the original problem to a system of linear algebraic equations, and then the numerical solutions obtained by our method are compared with those obtained by CAS wavelet method. Lastly, illustrated examples are included to demonstrate the validity and applicability of the technique.